simplify 500^{1/3}

Solution

simplify

50 0^{\frac{1}{3}}

2^{\frac{2}{3}} \cdot 5

Decimal Notation

7.93700 \dots

Solution steps

50 0^{\frac{1}{3}}

Prime factorization of

500 : 2^{2} \cdot 5^{3}

= (2^{2} \cdot 5^{3})^{\frac{1}{3}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(2^{2} \cdot 5^{3})^{\frac{1}{3}} = (2^{2})^{\frac{1}{3}} (5^{3})^{\frac{1}{3}}

= (2^{2})^{\frac{1}{3}} (5^{3})^{\frac{1}{3}}

(2^{2})^{\frac{1}{3}} = 2^{\frac{2}{3}}

= 2^{\frac{2}{3}} (5^{3})^{\frac{1}{3}}

(5^{3})^{\frac{1}{3}} = 5

= 2^{\frac{2}{3}} \cdot 5

\frac{5}{\frac{1}{5}}

\frac{2 π}{3} + \frac{π}{4}

- x - 4 (x - 2)

\frac{3 π}{2} \times \frac{180}{π}

8 x^{2} - 2 x - 21